Selfsimilar solutions of the binormal flow and their stability
arXiv:1103.4925
Abstract
We review some recent results concerning the evolution of a vortex filament and its relation to the cubic non-linear Schrödinger equation. Selfsimilar solutions and questions related to their stability are studied.
arXiv comment36 pages, survey to appear in Panoramas et Synthèses
References in corpus (4)
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- Physics on the edge: contour dynamics, waves and solitons in the quantum Hall effect
- Self-binormal solutions of the Localized Induction Approximation: Singularity formation
- A numerical study of the self-similar solutions of the Schroedinger Map